Is there any practical potential for which first derivative of wavefunction is continuous?

Question

As we know that first derivative of the wavefunction is discontinuous when the potential is infinity. Is there any practical potential for which first derivative of wavefunction is continuous?

Possible duplicates: https://physics.stackexchange.com/q/19667/2451 and links therein. — Qmechanic, May 22 '21 at 06:42

score 2 · Answer 1 · answered May 22 '21 at 06:41

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Is there any practical potential for which first derivative of wavefunction is continuous?

Yes. As one example, for a one-dimensional quantum harmonic oscillator, all derivatives of the wavefunction are everywhere continuous.

answered May 22 '21 at 06:41

G. Smith

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Is there any practical potential for which first derivative of wavefunction is continuous?

1 Answers1